Abstract
In the frame of variable exponent spaces of Clifford-valued functions and using the Banach fixed-point theorem, we obtain the existence and uniqueness of solutions to the stationary Navier-Stokes equations and Navier-Stokes equations with heat conduction under certain assumptions. In a sense, we extend some results of P. Cerejeiras and U. Kähler [P. Cerejeiras and U. Kähler, Elliptic boundary value problems of fluid dynamics over unbounded domains, Mathematical Methods in the Applied Sciences, 23(2000), 81-101].
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Zhang, B., Fu, Y. & Rădulescu, V.D. The Stationary Navier-Stokes Equations in Variable Exponent Spaces of Clifford-Valued Functions. Adv. Appl. Clifford Algebras 24, 231–252 (2014). https://doi.org/10.1007/s00006-014-0444-6
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DOI: https://doi.org/10.1007/s00006-014-0444-6